TY - JOUR
T1 - MIRROR SYMMETRY FOR DOUBLE COVER CALABI-YAU VARIETIES
AU - Hosono, Shinobu
AU - Lee, Tsung Ju
AU - Lian, Bong H.
AU - Yau, Shing Tung
N1 - Publisher Copyright:
© 2024 International Press, Inc.. All rights reserved.
PY - 2024/5
Y1 - 2024/5
N2 - The presented paper is a continuation of the series of papers [17, 18]. In this paper, utilizing Batyrev and Borisov's duality construction on nef-partitions, we generalize the recipe in [17, 18] to construct a pair of singular double cover Calabi-Yau varieties (Y, Y ∨) over toric manifolds and compute their topological Euler characteristics and Hodge numbers. In the 3-dimensional cases, we show that (Y, Y ∨) forms a topological mirror pair, i.e., hp,q(Y ) = h3-p,q(Y ∨) for all p, q.
AB - The presented paper is a continuation of the series of papers [17, 18]. In this paper, utilizing Batyrev and Borisov's duality construction on nef-partitions, we generalize the recipe in [17, 18] to construct a pair of singular double cover Calabi-Yau varieties (Y, Y ∨) over toric manifolds and compute their topological Euler characteristics and Hodge numbers. In the 3-dimensional cases, we show that (Y, Y ∨) forms a topological mirror pair, i.e., hp,q(Y ) = h3-p,q(Y ∨) for all p, q.
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U2 - 10.4310/JDG/1717356161
DO - 10.4310/JDG/1717356161
M3 - Article
AN - SCOPUS:85196323978
SN - 0022-040X
VL - 127
SP - 409
EP - 431
JO - Journal of Differential Geometry
JF - Journal of Differential Geometry
IS - 1
ER -